IPSJ Digital Courier
Online ISSN : 1349-7456
ISSN-L : 1349-7456
Spherical SOM and Arrangement of Neurons Using Helix on Sphere
Hirokazu NishioMd. Altaf-Ul-AminKen KurokawaShigehiko Kanaya
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2006 Volume 2 Pages 133-137

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Abstract

Self-organizing maps(SOM) are a kind of neural network, and are applied to many fields. In many applications, there are borders surrounding the neuron arrangement. It causes a problem which is called ‘Border effect’ because the number of neighborhood neurons of a neuron near a border is different from that of a neuron near the center. This problem can be solved by arranging neurons uniformly on the surface of a sphere. But by the conventional method we cannot arrange neurons of arbitrary number. Therefore, it is inconvenient to use. Here we developed a method to arrange the neurons of arbitrary number by dividing a helix which covers the surface of a sphere into equal parts. It also can arrange neurons on a sphere more uniformly than the conventional method.

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© 2006 by the Information Processing Society of Japan
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